Preliminary Data Analyses Indicate That You Can Reasonably Consider the Assumptions

question 46

Essay

Preliminary data analyses indicate that you can reasonably consider the assumptions for using pooled t-proceduressatisfied. Perform the required hypothesis test by using either the critical-value approach or the P-value approach asindicated.
-A researcher was interested in comparing the response times of two different cab companies. Companies A and B were each called at 50 randomly selected times. The calls to company A were made independently of the calls to company B. The response times for each call were recorded. The summary statistics were as follows: $$\begin{array} { l l l } & \text { Company A } & \text { Company B } \\ \hline \text { Mean response time } & 7.6 \text { minutes } & 6.9 \text { minutes } \\ \text { Standard deviation } & 1.4 \text { minutes } & 1.7 \text { minutes } \end{array}$$ At the 0.02 level of significance, do the data provide sufficient evidence to conclude that the mean response time for company A differs from the mean response time for company B? Use the P-value approach.

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Definitions:

Inherited Traits

Characteristics passed from parents to offspring through genes.

Behavioral

Pertaining to actions or reactions that an individual displays in response to their environment or stimuli.

Functionalism

A theoretical perspective in sociology and psychology that focuses on the roles or functions that an institution, behavior, or mental state serves in society or an organism.

Adaptive Value

The extent to which a trait or behavior increases the survival and reproduction chances of an organism in its environment.